Alice's Allegory

Alice had an allegory            
Of if uffish fishes fathomings    
Exceeds a further furling feel      
We dub dimensions one two three.            
For she and they could quite conceive            
Surrounding space in x, y, z          
As spatial planes we plainly seen,            
But suppose of those internally?          
She however had her answer though,            
For prior to her proposition,            
Positing had proved perception.      
So though her sea friends could explore            
Every space inside an orb,            
They failed to think of deeper thoughts          
Such as above, then so below,  
And as within, then so without.